Linear independence of logarithms of Algebraic Numbers[MatSciRep: 116]

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Linear independence of logarithms of Algebraic Numbers[MatSciRep: 116]

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dc.contributor.author Waldschmidt, Michel
dc.date.accessioned 2012-07-06T12:13:56Z
dc.date.available 2012-07-06T12:13:56Z
dc.date.issued 2012-07-06T12:13:56Z
dc.date.submitted 1992
dc.identifier.uri http://hdl.handle.net/123456789/318
dc.description.abstract The aim of the first part of these lectures (Chapters 2 to 6) is to give a complete proof of Baker's Theorem. In the second part of these lectures, which starts with the seventh Chapter, produces explicit measures of linear independence of logarithms of algebraic numbers. In this Chapter the author proves such an estimate by using the method of the first part. The aim is to present a proof as transparent as possible, not to give a sharp estimate. The result we reach is far from the best known, but is non trivial, and is quite sufficient for many Diophantine problems. Refinements of this estimate will be discussed in Chapter 10. en_US
dc.subject Algebraic Number Theory en_US
dc.subject Matscience Report 116 en_US
dc.title Linear independence of logarithms of Algebraic Numbers[MatSciRep: 116] en_US
dc.type.institution Institute of Mathematical Sciences en_US
dc.description.pages 174p. en_US
dc.type.mainsub Mathematics en_US

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